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Finding the Third Proportional to 30,729 and 45,897

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Solution

The third proportional to 30,729 and 45,897 is: 68,552.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,729 : 45,897 = 45,897 : x
  2. Step 2: Convert to fraction form
    30,729/45,897 = 45,897/x
  3. Step 3: Cross multiply
    30,729x = 45,897 × 45,897
  4. Step 4: Simplify right side
    30,729x = 2,106,534,609
  5. Step 5: Solve for x
    x = 2,106,534,609/30,729
  6. Step 6: Final answer
    x = 68,552.01

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.